Global existence and uniqueness for a non linear Boussinesq system in dimension two

We study the global well-posedness of a two-dimensional Boussinesq system which couples the incompressible Euler equation for the velocity and a transport equation with fractional diffusion of type $|\DD|^α$ for the temperature. We prove that for $α>1,$ there exists a unique global solution for initial data with critical regularities.

No reviews yet.

No comments yet.